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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 393, Pages 12–22 (Mi znsl4612)  
This article is cited in 9 scientific papers (total in 9 papers)

Diffraction by a narrow circular cone as by a strongly elongated body

I. V. Andronova, D. Boucheb

a Saint-Petersburg State University, Saint-Petersburg, Russia
b CEA, DAM, DIF, Arpajon, France
Full-text PDF (210 kB) Citations (9)
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Abstract: Leading order terms of the asymptotic expansions in the problems of acoustic and electromagnetic waves diffraction by narrow circular cone are constructed in this paper. By analogy with problems of diffraction by strongly elongated bodies the derivations are carried out in special system of coordinates related to the surface which takes into account that the cone angle is small. Graphics of special functions appearing in the considered problems of diffraction are presented.
Key words and phrases: high-frequency diffraction, strongly elongated body, narrow cone.
Received: 08.09.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 185, Issue 4, Pages 517–522
DOI: https://doi.org/10.1007/s10958-012-0934-9
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: I. V. Andronov, D. Bouche, “Diffraction by a narrow circular cone as by a strongly elongated body”, Mathematical problems in the theory of wave propagation. Part 41, Zap. Nauchn. Sem. POMI, 393, POMI, St. Petersburg, 2011, 12–22; J. Math. Sci. (N. Y.), 185:4 (2012), 517–522
Citation in format AMSBIB
\Bibitem{AndBou11}
\by I.~V.~Andronov, D.~Bouche
\paper Diffraction by a narrow circular cone as by a strongly elongated body
\inbook Mathematical problems in the theory of wave propagation. Part~41
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 393
\pages 12--22
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4612}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2870201}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 185
\issue 4
\pages 517--522
\crossref{https://doi.org/10.1007/s10958-012-0934-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866553647}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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